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Trigonometric Ratio and Identites question

2004 · Shift 0 · Q75

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2004 · Shift 0 · Q75

Trigonometric Ratio and Identites question

2004 · Shift 0 · Q75

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

If

u = \sqrt {{a^2}{{\cos }^2}\theta + {b^2}{{\sin }^2}\theta } + \sqrt {{a^2}{{\sin }^2}\theta + {b^2}{{\cos }^2}\theta }

then the difference between the maximum and minimum values of

{u^2}

is given by :

A
${\left( {a - b} \right)^2}$
B
$2\sqrt {{a^2} + {b^2}}$
C
${\left( {a + b} \right)^2}$
D
$2\left( {{a^2} + {b^2}} \right)$

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